Exponential Growth and Decay: District 7

Graph the function. f(x)=4⋅2ˣ Identify the y intercept.

4

The town of Madison has a population of 25000. The population is increasing by a GROWTH FACTOR of 1.12 each year. Write a function that gives the population P(t) in Madison t years from now. P(t)= ...

25000(1.12)ᵗ

Two videos on viewtube.com were recently uploaded. One is a playful kitten video and the other is a laughing baby video. The kitten video had 10 views by the end of the first minute after it was uploaded, and the cumulative number of views increases by 50 views by the end of each additional minute. The baby video had 3 views by the end of the first minute after it was uploaded, and the cumulative number of views increases by a factor of approximately 3.5, by the end of each additional minute. By the end of which minute will the baby video's cumulative number of views first exceed the kitten video's cumulative number of views?

5

Graph the function: h(x)=9⋅(2/3)ˣ Complete the missing value: (1,.....)

6

The exponential function f, represented in the table, can be written as f(x)=a⋅bˣ x f(x) 0 15 1 9 Complete the equation for f(x)=

= 15(3/5)ˣ

Does the function model exponential growth or decay? f(t)= 1/4 ⋅4ᵗ Choose 1 answer: A. Growth B. Decay

A

Enrico deposited $2000 in a savings account. Each month he will deposit an additional $25. Which kind of function best models the relationship between time and the total amount in the savings account? Choose 1 answer: A. Linear B. Exponential

A

The expression 4⋅3tᵗ gives the number of ducks living in Anoop's pond t years after he built it. What does 4 represent in this expression? Choose 1 answer: A. It has been 4 years since Anoop built the pond. B. There were 4 ducks living in Anoop's pond when he first built it. C. The number of ducks living in Anoop's pond is multiplied by 4 every year.

B

The town of Springfield, USA has a population of 9900 people. The population is growing at a rate of 2.3% each year. Which expression gives the population 7 years from now? Choose 1 answer: A. 9900(1-0.023)⁷ B. 9900(1+0.023)⁷ C. 9900(1-0.23)⁷ D. 9900(1+0.23)⁷

B

x 0 1 2 3 y 2 6 18 54 Identify the appropriate word in the parenthesis: This relationship is (linear, exponential) because each y-value is (1,2,3,4,5) (more than, times) than the y-value before it.

exponential, 3, times

x 3 4 5 6 y 9 14 19 24 Is the relationship linear or exponential?

linear